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Finding the Fourth Proportional to 202,968.30, 304,452.45 and 78,309.30

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Solution

The fourth proportional to 202,968.30, 304,452.45 and 78,309.30 is: 117,463.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,968.30 : 304,452.45 = 78,309.30 : x
  2. Step 2: Convert to fraction form
    202,968.30/304,452.45 = 78,309.30/x
  3. Step 3: Cross multiply
    202,968.30x = 304,452.45 × 78,309.30
  4. Step 4: Simplify right side
    202,968.30x = 23,841,458,242.79
  5. Step 5: Solve for x
    x = 23,841,458,242.79/202,968.30
  6. Step 6: Final answer
    x = 117,463.95

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.